Finite Group Databasebeta

← Group #10694130

Character table — Group #10694130

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444448888888888888888888888888888888888881212121212121212242424242424242424242424
order1222444422344444444446661212121266121212121212121212122244666688888888121212122424242424242424242424242424242488888888444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111−i−iii−i−iii
χ111111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111ii−i−iii−i−i
χ131111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ151111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ172222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-222-2-2-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-222-2-2-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ202222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000000000000000
χ212222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000000000000000
χ222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000000000000000
χ232222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000−i3−i3i3i32i−2i2i−2i0000−i3−i3i3i3−i−iii−i−iii33−3−333−3−300000000000000000000
χ242222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000−i3−i3i3i3−2i2i−2i2i0000−i3−i3i3i3ii−i−iii−i−i−3−333−3−33300000000000000000000
χ252222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i32i−2i2i−2i0000i3i3−i3−i3−i−iii−i−iii−3−333−3−33300000000000000000000
χ262222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i3−2i2i−2i2i0000i3i3−i3−i3ii−i−iii−i−i33−3−333−3−300000000000000000000
χ2722222222-2-22-2-222-2-2-2-2222222222-2-222-2-2-2-222-2-20000000000000000000000000000000000000000000000002-22-20000
χ2822222222-2-22-2-222-2-2-2-2222222222-2-222-2-2-2-222-2-2000000000000000000000000000000000000000000000000-22-220000
χ2922222222-2-22-2-2-2-22222-2-22222222-2-2-2-222-2-2-2-22200000000000000000000000000000000000022-2-222-2-2000000000000
χ3022222222-2-22-2-2-2-22222-2-22222222-2-2-2-222-2-2-2-222000000000000000000000000000000000000-2-222-2-222000000000000
χ312222-2-2-2-2222-2-2-2-222-2-222222-2-2-2-222-2-2-2-2-2-22222000000002-2-220000000022-2-2-2-2220000000000000000000000000000
χ322222-2-2-2-2222-2-2-2-222-2-222222-2-2-2-222-2-2-2-2-2-2222200000000-222-200000000-2-22222-2-20000000000000000000000000000
χ332222-2-2-2-222-1-2-222-2-222-2-2-1-1-11111-1-1-1-1-1-111111122-2-2-1-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ342222-2-2-2-222-1-2-222-2-222-2-2-1-1-11111-1-1-1-1-1-111111122-2-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ352222-2-2-2-222-1-2-222-2-222-2-2-1-1-11111-1-1-1-1-1-1111111-2-22211112i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ362222-2-2-2-222-1-2-222-2-222-2-2-1-1-11111-1-1-1-1-1-1111111-2-2221111−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ372222-2-2-2-222-1-2-2-2-222-2-222-1-1-11111-1-1111111-1-1-1-10000−i3−i3i3i32-2-220000i3i3−i3−i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000
χ382222-2-2-2-222-1-2-2-2-222-2-222-1-1-11111-1-1111111-1-1-1-10000−i3−i3i3i3-222-20000i3i3−i3−i311-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000
χ392222-2-2-2-222-1-2-2-2-222-2-222-1-1-11111-1-1111111-1-1-1-10000i3i3−i3−i32-2-220000−i3−i3i3i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000
χ402222-2-2-2-222-1-2-2-2-222-2-222-1-1-11111-1-1111111-1-1-1-10000i3i3−i3−i3-222-20000−i3−i3i3i311-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000
χ412222-2-2-2-2-2-22222222-2-2-2-2222-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ422222-2-2-2-2-2-22222222-2-2-2-2222-2-2-2-2-2-222-2-222-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ432222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000000000000022-2-2-2-222000000000000
χ442222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000-2-22222-2-2000000000000
χ452-22-22i2i−2i−2i2-222i−2i2-22i−2i2-22i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ462-22-22i2i−2i−2i2-222i−2i2-22i−2i2-22i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ472-22-22i2i−2i−2i2-222i−2i-22−2i2i-22−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i000000000000000000000000000000000000000000002i−2i2-200000000
χ482-22-22i2i−2i−2i2-222i−2i-22−2i2i-22−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i00000000000000000000000000000000000000000000−2i2i-2200000000
χ492-22-22i2i−2i−2i-222−2i2i2-2−2i2i-222i−2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i2-22i−2i2-22-2000000002i−2i2i−2i000000000000000000000000000000000000
χ502-22-22i2i−2i−2i-222−2i2i2-2−2i2i-222i−2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i-22−2i2i-22-2200000000−2i2i−2i2i000000000000000000000000000000000000
χ512-22-22i2i−2i−2i-222−2i2i-222i−2i2-2−2i2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
χ522-22-22i2i−2i−2i-222−2i2i-222i−2i2-2−2i2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
χ532-22-22i2i−2i−2i-22-1−2i2i2-2−2i2i-222i−2i-111−i−iii1-1-111-1i−i−iii−i2-22i−2i-11-1100000000−ii−iiζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000
χ542-22-22i2i−2i−2i-22-1−2i2i2-2−2i2i-222i−2i-111−i−iii1-1-111-1i−i−iii−i2-22i−2i-11-1100000000−ii−ii−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000
χ552-22-22i2i−2i−2i-22-1−2i2i2-2−2i2i-222i−2i-111−i−iii1-1-111-1i−i−iii−i-22−2i2i1-11-100000000i−ii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000
χ562-22-22i2i−2i−2i-22-1−2i2i2-2−2i2i-222i−2i-111−i−iii1-1-111-1i−i−iii−i-22−2i2i1-11-100000000i−ii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000
χ572-22-22i2i−2i−2i-22-1−2i2i-222i−2i2-2−2i2i-111−i−iii1-11-1-11i−ii−i−ii0000−i3i3i3−i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−33−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000000000
χ582-22-22i2i−2i−2i-22-1−2i2i-222i−2i2-2−2i2i-111−i−iii1-11-1-11i−ii−i−ii0000−i3i3i3−i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−33ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000000000
χ592-22-22i2i−2i−2i-22-1−2i2i-222i−2i2-2−2i2i-111−i−iii1-11-1-11i−ii−i−ii0000i3−i3−i3i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−333−3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000000000
χ602-22-22i2i−2i−2i-22-1−2i2i-222i−2i2-2−2i2i-111−i−iii1-11-1-11i−ii−i−ii0000i3−i3−i3i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−333−3−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000000000
χ612-22-2−2i−2i2i2i2-22−2i2i2-2−2i2i2-2−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ622-22-2−2i−2i2i2i2-22−2i2i2-2−2i2i2-2−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ632-22-2−2i−2i2i2i2-22−2i2i-222i−2i-222i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i000000000000000000000000000000000000000000002i−2i-2200000000
χ642-22-2−2i−2i2i2i2-22−2i2i-222i−2i-222i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000−2i2i2-200000000
χ652-22-2−2i−2i2i2i-2222i−2i2-22i−2i-22−2i2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i2-2−2i2i2-22-200000000−2i2i−2i2i000000000000000000000000000000000000
χ662-22-2−2i−2i2i2i-2222i−2i2-22i−2i-22−2i2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i-222i−2i-22-22000000002i−2i2i−2i000000000000000000000000000000000000
χ672-22-2−2i−2i2i2i-2222i−2i-22−2i2i2-22i−2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ682-22-2−2i−2i2i2i-2222i−2i-22−2i2i2-22i−2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ692-22-2−2i−2i2i2i-22-12i−2i2-22i−2i-22−2i2i-111ii−i−i1-1-111-1−iii−i−ii2-2−2i2i-11-1100000000i−ii−i−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ702-22-2−2i−2i2i2i-22-12i−2i2-22i−2i-22−2i2i-111ii−i−i1-1-111-1−iii−i−ii2-2−2i2i-11-1100000000i−ii−iζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ712-22-2−2i−2i2i2i-22-12i−2i2-22i−2i-22−2i2i-111ii−i−i1-1-111-1−iii−i−ii-222i−2i1-11-100000000−ii−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ722-22-2−2i−2i2i2i-22-12i−2i2-22i−2i-22−2i2i-111ii−i−i1-1-111-1−iii−i−ii-222i−2i1-11-100000000−ii−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ732-22-2−2i−2i2i2i-22-12i−2i-22−2i2i2-22i−2i-111ii−i−i1-11-1-11−ii−iii−i0000−i3i3i3−i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−333−3−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000000000
χ742-22-2−2i−2i2i2i-22-12i−2i-22−2i2i2-22i−2i-111ii−i−i1-11-1-11−ii−iii−i0000−i3i3i3−i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−333−3ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000000000
χ752-22-2−2i−2i2i2i-22-12i−2i-22−2i2i2-22i−2i-111ii−i−i1-11-1-11−ii−iii−i0000i3−i3−i3i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3−33ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000000000
χ762-22-2−2i−2i2i2i-22-12i−2i-22−2i2i2-22i−2i-111ii−i−i1-11-1-11−ii−iii−i0000i3−i3−i3i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3−33−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000000000
χ7744444444-4-4-2-4-444-4-4-4-444-2-2-2-2-2-2-222-2-22222-2-22200000000000000000000000000000000000000000000000000000000
χ7844444444-4-4-2-4-4-4-44444-4-4-2-2-2-2-2-2-22222-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-4-4-4-2444444-4-4-4-4-2-2-2222222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-244-4-4-4-44444-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ8144-4-44-44-40040000000000-4-444-44-400000000000000000000000000000000000000000000000000−2i22i200−2i22i2000000000000
χ8244-4-44-44-40040000000000-4-444-44-4000000000000000000000000000000000000000000000000002i2−2i2002i2−2i2000000000000
χ8344-4-4-44-440040000000000-4-44-44-4400000000000000000000000000000000000000000000000000−2i22i2002i2−2i2000000000000
χ8444-4-4-44-440040000000000-4-44-44-44000000000000000000000000000000000000000000000000002i2−2i200−2i22i2000000000000
χ854-44-44i4i−4i−4i4-4-24i−4i4-44i−4i4-44i−4i-222−2i−2i2i2i-22-22-22−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ864-44-44i4i−4i−4i4-4-24i−4i-44−4i4i-44−4i4i-222−2i−2i2i2i-222-22-2−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ874-44-4−4i−4i4i4i4-4-2−4i4i4-4−4i4i4-4−4i4i-2222i2i−2i−2i-22-22-222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ884-44-4−4i−4i4i4i4-4-2−4i4i-444i−4i-444i−4i-2222i2i−2i−2i-222-22-22i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ894-4-444i−4i−4i4i0040000000000-44-44i−4i−4i4i00000000000000000000000000000000000000000000000022−2200−2i22i200000000000000
χ904-4-444i−4i−4i4i0040000000000-44-44i−4i−4i4i000000000000000000000000000000000000000000000000−2222002i2−2i200000000000000
χ914-4-44−4i4i4i−4i0040000000000-44-4−4i4i4i−4i00000000000000000000000000000000000000000000000022−22002i2−2i200000000000000
χ924-4-44−4i4i4i−4i0040000000000-44-4−4i4i4i−4i000000000000000000000000000000000000000000000000−222200−2i22i200000000000000
χ9388-8-88-88-800-4000000000044-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-88-8800-4000000000044-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ958-8-888i−8i−8i8i00-400000000004-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88−8i8i8i−8i00-400000000004-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.